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Mathematics > Symplectic Geometry

Title: A note on contact manifolds with infinite fillings

Authors: Zhengyi Zhou
(Submitted on 24 Apr 2023)
Abstract: We use spinal open books to construct contact manifolds with infinitely many different Weinstein fillings in any odd dimension $> 1$, which were previously unknown for dimensions equal to $4n+1$. The argument does not involve understanding factorizations in the symplectic mapping class group.
Comments: 5 pages, comments are welcome!
Subjects: Symplectic Geometry (math.SG); Geometric Topology (math.GT)
Cite as: arXiv:2304.11804 [math.SG]
  (or arXiv:2304.11804v1 [math.SG] for this version)

Submission history

From: Zhengyi Zhou [view email]
[v1] Mon, 24 Apr 2023 03:27:59 GMT (12kb)
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